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A377999
Decimal expansion of L^4/(80*Pi^4) - 1/240, where L is the lemniscate constant (A062539).
5
1, 8, 9, 9, 0, 1, 2, 0, 5, 1, 1, 1, 9, 6, 2, 2, 1, 7, 6, 9, 2, 6, 7, 5, 8, 3, 4, 8, 3, 2, 8, 6, 2, 2, 0, 3, 0, 9, 6, 8, 3, 1, 0, 7, 7, 3, 0, 3, 4, 1, 8, 1, 2, 3, 2, 1, 6, 1, 8, 7, 0, 4, 0, 9, 5, 8, 3, 5, 4, 9, 0, 7, 7, 9, 5, 2, 3, 4, 7, 5, 4, 2, 1, 1, 0, 3, 8, 2, 5, 5
OFFSET
-2,2
FORMULA
Equals (3*Pi^2/Gamma(3/4)^8 - 4)/960 = (3*A002388/A068465^8 - 4)/960.
Equals Sum_{k >= 1} A001158(k)*exp(-2*Pi*k).
EXAMPLE
0.001899012051119622176926758348328622030968310773034...
MATHEMATICA
First[RealDigits[(3*Pi^2/Gamma[3/4]^8 - 4)/960, 10, 100]] (* or *)
First[RealDigits[Sum[DivisorSigma[3, k]*Exp[-2*Pi*k], {k, Infinity}], 10, 100]]
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Nov 15 2024
STATUS
approved